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The effect of surface elasticity on a Mode-III interface crack

Kim C. I., Schiavone P., Ru C.-Q.

Archives of Mechanics

2011

Vol. 63, nr 3

267-267

We study the contribution of surface elasticity to the anti-plane deformations of a linearly elastic bi-material with Mode-III interface crack. The surface elasticity is incorporated using a version of the continuum-based surface/interface model of Gurtin and Murdoch. We obtain a complete semi-analytic solution valid throughout the solid (including the crack tips) via a Cauchy singular, integro-differential equation of the first kind. Our solution demonstrates that the surface elasticity on the crack face leads to finite stresses at the crack tips and stress discontinuities across the material interface.